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Finding the Fourth Proportional to 285,361.72, 428,070.88 and 105,494.27

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Solution

The fourth proportional to 285,361.72, 428,070.88 and 105,494.27 is: 158,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,361.72 : 428,070.88 = 105,494.27 : x
  2. Step 2: Convert to fraction form
    285,361.72/428,070.88 = 105,494.27/x
  3. Step 3: Cross multiply
    285,361.72x = 428,070.88 × 105,494.27
  4. Step 4: Simplify right side
    285,361.72x = 45,159,024,993.86
  5. Step 5: Solve for x
    x = 45,159,024,993.86/285,361.72
  6. Step 6: Final answer
    x = 158,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.